Fractions on Line Plots

"I'm telling ya, Gus, pretty soon EVERYTHING is going to be covered with SNOW!" If that's true, WHY have I never seen it? I'll prove it you'll see! "Ok, you do that." Let's help Nari keep track of the snowfall data and answer questions with the information using... "Fractions on a Line Plot". A line plot is a type of graph that we use to organize and answer questions about data collected. Here is the line plot of the snowfall accumulation that Nari recorded. Using this line plot we can answer questions about the snowfall. In order to answer correctly, we read the questions carefully and identify keywords that tell us what to look for on the line plot. What was the LEAST amount of snow accumulated in a day? Least tells us to look for the lowest amount that has an above it. Here is the lowest recorded snowfall amount. Since there is not a fraction listed, we are going to have to solve for this amount. To solve, count how many increments the line is divided into. The line plot is divided into eighths... Let's show all the equivalent fractions on the line plot grouped by eighths to make it easier to answer the questions. One-eighth, Two-eighths, three-eighths, four-eighths, five-eighths, six-eighths, seven-eighths, and eight-eighths. This first place has the value of one-eighth. What was the GREATEST amount of snowfall in a day? Greatest tells us to look at the highest amount on the line. The greatest amount of snowfall in a day was seven-eighths of a foot. What is the DIFFERENCE in the amount of snow between the greatest and the least? Difference means to subtract, so we will take one-eighth away from seven-eighths. What is seven-eighths minus one-eighth? Six-eighths. Six-eighths can be simplified to three-fourths by dividing the numbers by two. Six-eighths is the same as three-fourths of a foot. The difference between the least and greatest is three-fourths of a foot of snow. What is the combined amount of snow for the days with less than half a foot of snow accumulation? Combined means we need to add…. and days with less than half a foot tell us which fractions we need to use. Looking at the line plot, which fractions are less than one-half? Remember fourth-eighths is equivalent to one-half... so we will use these fractions to add. There is one over one-eighth so, we will put that number here. There are two over three-eighths and we will add that fraction, TWICE. What is one-eighth, plus three-eighths, plus three-eighths? (...) Seven-eighths. The combined amount of snow for these days was seven-eighths of a foot. How many days did it snow altogether? We know that the stand for a day, so how do we solve this problem? We need to add all the< x’s> in the line plot. How many days of snowfall were there? There are ten , so there were ten days of snowfall. Remember (...) We can solve addition and subtraction problems based on information in line plots. Carefully read the question and look for keywords that will tell you what operation to do using different parts of the number line. Keep in mind, some problems may have MULTIPLE steps. "There were TEN DAYS OF SNOW!" “ You almost got me that time, Nari!”